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Finding the Fourth Proportional to 22,169.24, 30,551.34 and 15,870.68

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Solution

The fourth proportional to 22,169.24, 30,551.34 and 15,870.68 is: 21,871.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,169.24 : 30,551.34 = 15,870.68 : x
  2. Step 2: Convert to fraction form
    22,169.24/30,551.34 = 15,870.68/x
  3. Step 3: Cross multiply
    22,169.24x = 30,551.34 × 15,870.68
  4. Step 4: Simplify right side
    22,169.24x = 484,870,540.71
  5. Step 5: Solve for x
    x = 484,870,540.71/22,169.24
  6. Step 6: Final answer
    x = 21,871.32

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.